{"title":"Team optimal decentralized estimation by multiple agents with asymmetric information","authors":"Yue Sun, Wei Wang, Juanjuan Xu, Huanshui Zhang","doi":"10.1002/oca.2986","DOIUrl":"https://doi.org/10.1002/oca.2986","url":null,"abstract":"In this paper, we are concerned with the team optimal decentralized state estimation problem where the state is transmitted to a remote agent with packet dropouts and is observed by N$$ N $$ local agents with additive noises. In particular, the information of the remote agent is available to all local agents with hierarchical relationships, which leads to an asymmetric information structure. The main contribution is to derive the analytical expressions for the team optimal decentralized state estimation. Different from the existing decentralized estimation results, the novelty of the paper is to comprehensively investigate the influence of packet dropouts and additive noises, which occur frequently in networked control systems.","PeriodicalId":105945,"journal":{"name":"Optimal Control Applications and Methods","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125217868","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Relationship between maximum principle and dynamic programming principle for stochastic recursive optimal control problem under volatility uncertainty","authors":"Xiaojuan Li","doi":"10.1002/oca.2988","DOIUrl":"https://doi.org/10.1002/oca.2988","url":null,"abstract":"In this article, we study the relationship between maximum principle (MP) and dynamic programming principle (DPP) for stochastic recursive optimal control problem driven by G$$ G $$ ‐Brownian motion. Under the smooth assumption for the value function, we obtain the connection between MP and DPP under a reference probability Pt,x∗$$ {P}_{t,x}^{ast } $$ . Within the framework of viscosity solution, we establish the relation between the first‐order super‐jet, sub‐jet of the value function and the solution to the adjoint equation respectively.","PeriodicalId":105945,"journal":{"name":"Optimal Control Applications and Methods","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133658635","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Optimal parameter characterization of an enhanced mathematical model of solar photovoltaic cell/module using an improved white shark optimization algorithm","authors":"M. Lakshmanan, C. Kumar, John Sahayam Jasper","doi":"10.1002/oca.2984","DOIUrl":"https://doi.org/10.1002/oca.2984","url":null,"abstract":"In the modeling and designing of PhotoVoltaic (PV) systems, parameter characterization in PV cell/module models remains a crucial field of research. Diode‐based models, such as single‐diode model (SDM), double‐diode model (DDM), and the three‐diode model, are frequently employed, and SDM and DDM are the most significant models. As a result, the difference between the estimated and experimental current can be minimized by using an objective function to solve the parameter characterization of such models. Metaheuristic optimization algorithms have recently been employed to get around the difficulty of finding accurate and highly reliable outcomes quickly. As a result, this research modifies the fundamental SDM and DDM and considers an objective function based on the modified models. Additionally, an improved version of a novel metaheuristic algorithm called White Shark Optimizer (WSO) is proposed by modifying the force control parameters of the WSO, and a chaotic generator is infused to improve the exploitation ability of WSO. The modified algorithm is named IWSO and applied to extract the PV parameters. This paper uses the new objective function to compare the conventional and the modified PV models. The outcomes of the experiment demonstrated IWSO's dominance over competing algorithms. With an average Freidman's ranking test value of 1.171, the proposed IWSO is superior to all selected algorithms. The average accuracy of modified SDM and DDM is 12% better than the traditional PV models. According to the findings, IWSO's estimated parameter values are the best, with the smallest difference between estimated and experimental current.","PeriodicalId":105945,"journal":{"name":"Optimal Control Applications and Methods","volume":"55 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129345204","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Analysis of an optimal control problem for a spatio‐temporal SIR model with nonlinear density dependent diffusion terms","authors":"M. Mehdaoui, A. Lamrani Alaoui, M. Tilioua","doi":"10.1002/oca.2976","DOIUrl":"https://doi.org/10.1002/oca.2976","url":null,"abstract":"This paper focuses on the study of an optimal control problem for a new spatio‐temporal SIR epidemic model with nonlinear density dependent diffusion terms and a class of nonlinear incidence functions. We consider two types of control variables, vaccination for the susceptible and treatment for the infected. For fixed controls, by means of Schauder fixed point theorem, we prove that the proposed model admits a weak biologically feasible solution, the uniqueness of the latter is also investigated. Furthermore, using the state and adjoint problems, first order necessary optimal conditions are obtained. Finally, numerical simulations are carried out for particular diffusion terms incorporating the heard mentality of individuals, when it comes to the spatial movement, and for particular incidence functions, as well as by varying the parameters of the objective functional, to illustrate the possible optimal control strategies and their effect on the studied population.","PeriodicalId":105945,"journal":{"name":"Optimal Control Applications and Methods","volume":"2001 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123761734","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Li Xie, JiaCheng Huang, Hongfeng Tao, Huizhong Yang
{"title":"Identification of dual‐rate sampled errors‐in‐variables systems with time delays","authors":"Li Xie, JiaCheng Huang, Hongfeng Tao, Huizhong Yang","doi":"10.1002/oca.2982","DOIUrl":"https://doi.org/10.1002/oca.2982","url":null,"abstract":"For identification of dual‐rate sampled errors‐in‐variables (EIV) systems with time delays, this paper utilizes the polynomial transformation technique and the redundant rule to derive the augmented dual‐rate model, and proposes a bias compensation‐based least squares (BC‐LS) algorithm. The basic idea is to obtain a biased parameter estimate by using the LS algorithm, then compensate the noise‐induced bias by the estimated noise variances, and finally estimate the time delay according to the unbiased parameter estimate and the given threshold. Considering that proper threshold selection has great influence on the performance of the BC‐LS identification algorithm for high noise level, the generalized orthogonal matching pursuit (GOMP) algorithm is introduced to simultaneously estimate the biased parameters and the time delay, and the bias compensation‐based GOMP (BC‐GOMP) algorithm is further proposed to identify the dual‐rate sampled EIV systems with time delays. The simulation examples demonstrate the effectiveness of the proposed two algorithms, and the BC‐GOMP algorithm performs better especially when the modeling dataset is small.","PeriodicalId":105945,"journal":{"name":"Optimal Control Applications and Methods","volume":"41 6","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114043920","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Application of chaos assisted sine cosine algorithm on wind–solar integrated hydrothermal scheduling problem","authors":"Koustav Dasgupta, P. Roy, V. Mukherjee","doi":"10.1002/oca.2981","DOIUrl":"https://doi.org/10.1002/oca.2981","url":null,"abstract":"In recent times, renewable energy sources are essential for generating low‐cost, pollution‐free power. Since the last two decades, hydrothermal coordination system has been used to fulfill the demand power. The traditional generating model's two biggest flaws are high generation cost and excessive fossil fuel emission. In the proposed work, generation process of traditional hydrothermal scheduling (HTS) has been improved by integrating wind–solar energy. To overcome current issues of HTS, that is, excessive emission and generation cost, hydrothermal–solar–wind scheduling (HTSWS) problem has been introduced where two wind and two solar power generating units have been considered with four hydro and three thermal power generating units. Here, effective performance of low cost‐emission based proposed HTSWS has been examined by using chaos‐based sine cosine algorithm (SCA) (CSCA). Chaos has been used in sine cosine function of SCA to improve searching process for finding global optimal results. The proposed CSCA has been used to investigate three separate situations of standard HTS and recommended HTSWS problems including generation cost, emission, and combined cost‐emission. The cost of generation and emissions from conventional HTS can be reduced by 11% and 68%, respectively, by the suggested renewable energy source‐based generation model. The results of several case studies of proposed HTSWS and standard HTS reveal that wind–solar energy is effective in the HTS issue, and chaos assists in the SCA to improve its optimization process. In this study, effectiveness and robustness of the CSCA have been demonstrated by comparing the CSCA‐based results to existing methods for the challenges under consideration.","PeriodicalId":105945,"journal":{"name":"Optimal Control Applications and Methods","volume":"76 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123900289","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A kind of linear‐quadratic Pareto cooperative differential game with partial information","authors":"Panpan Nie, Guangchen Wang, Yu Wang","doi":"10.1002/oca.2980","DOIUrl":"https://doi.org/10.1002/oca.2980","url":null,"abstract":"This article is concerned with a linear‐quadratic (LQ) Pareto cooperative differential game of stochastic differential equation (SDE) with partial information, where the control system is nonhomogeneous. First, we give the existence and uniqueness of solution to a new class of conditional mean‐field forward‐backward stochastic differential equations (CMF‐FBSDEs). Next, we obtain Pareto efficient strategies with a method of weighted sum optimization. It should be noted that the results depend on weight here. Feedback Pareto efficient strategies are obtained under some special information structure, and Pareto solutions are derived through six equations. Meanwhile, we give a characterization of optimal weight under stochastic case. Finally, the theoretical results are used to solve a kind of national income problem, and numerical simulations are given.","PeriodicalId":105945,"journal":{"name":"Optimal Control Applications and Methods","volume":"42 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121147091","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Event‐triggered adaptive dynamic programming of nonlinear system with asymmetric input constraints and uncertain disturbances","authors":"Y. Liu, Guoqing Qiu, Wenyao Gou, Qie Liu","doi":"10.1002/oca.2977","DOIUrl":"https://doi.org/10.1002/oca.2977","url":null,"abstract":"In this article, an uncertain disturbance rejection control problem for the affine system in the presence of asymmetric input constraints is addressed using an event‐triggered control method. The disturbance rejection control is converted to an H∞$$ {H}_{infty } $$ optimal control problem, and a zero‐sum game‐based method is proposed to solve this H∞$$ {H}_{infty } $$ optimal control problem. To deal with the input constraints, a new cost function is proposed. The event‐triggered controller is updated only when the triggering condition is satisfied, which can reduce the computational complexity.In order to obtain a controller that minimizes the performance index function in the worst‐case disturbance, we use a critic‐only network to solve the Hamilton–Jacobi–Isaacs (HJI) equation, and the critic network weight is tuned through a gradient descent method with the historical state data. The stability of the closed‐loop system and the uniform ultimate boundedness of the critic network parameters are proved by the Lyapunov method. Two numerical examples are provided to verify the effectiveness of the proposed methods.","PeriodicalId":105945,"journal":{"name":"Optimal Control Applications and Methods","volume":"62 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122355112","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Yang Shi, Zhenbo Wang, T. Laclair, C. Wang, Y. Shao
{"title":"Real‐time control of connected vehicles in signalized corridors using pseudospectral convex optimization","authors":"Yang Shi, Zhenbo Wang, T. Laclair, C. Wang, Y. Shao","doi":"10.1002/oca.2978","DOIUrl":"https://doi.org/10.1002/oca.2978","url":null,"abstract":"Recent advances in Connected and Automated Vehicle (CAV) technologies have opened up new opportunities to enable safe, efficient, and sustainable transportation systems. However, developing reliable and rapid speed control algorithms in highly dynamic environments with complex inter‐vehicle interactions and nonlinear vehicle dynamics is still a daunting task. In this paper, we develop a novel speed control method for CAVs to produce optimal speed profiles that minimize the fuel consumption and avoid idling at signalized intersections. To this end, an optimal control problem is formulated using the information of the upcoming traffic signal to adapt vehicles' speeds to avoid frequent stop‐and‐go driving patterns. By applying the pseudospectral discretization method and the sequential convex programming method, the computational efficiency is greatly improved, enabling potential real‐time on‐vehicle applications. In addition, the algorithm is implemented under a model predictive control framework to ensure online control with instant response for collision avoidance and robust vehicle coordination. The proposed algorithm is verified through numerical simulations of three different traffic scenarios. The convergence and accuracy of the proposed approach are demonstrated by comparing with a popular nonlinear solver. Furthermore, the benefit of the proposed method in both traffic mobility and fuel efficiency is validated using the speed profile determined from a traffic following model in a simulation software as the baseline.","PeriodicalId":105945,"journal":{"name":"Optimal Control Applications and Methods","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130116091","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Optimal control and stabilization for discrete‐time networked control systems with multichannel Markovian packet losses","authors":"Chunyan Han, Song Zhang, Wen Wang, Tao Shen","doi":"10.1002/oca.2972","DOIUrl":"https://doi.org/10.1002/oca.2972","url":null,"abstract":"This article is concerned with the optimal control and stabilization for the discrete‐time networked control systems with Markovian fading channels in a diagonal form, which indicates that different channel possesses different correlated fading property. To overcome the essential difficulty resulting from the multi communication channel packet losses and the correlation of the Markov chain, a new multistate Markov chain is introduced, by which the optimal control and stabilization for the NCSs with the diagonal form of Markovian fading channels are transformed into the ones for the general Markovian jump linear system. According to the converted system, a new modified maximum principle is presented, that is, a forward‐backward stochastic difference equation (FBSDE) is obtained. In the finite horizon design, the key step is to seek for the relationship between the system state and optimal costate. By the obtained relation and based on a new coupled difference Riccati equation (CDRE), a necessary and sufficient solvability condition for the optimal control is obtained as well as an explicit expression for the optimal controller. For the infinite horizon case, a new type of coupled Lyapunov function is defined, which keeps consistent with the finite horizon optimal performance index. By introducing a new coupled algebraic Riccati equation and using the defined Lyapunov function, a necessary and sufficient stabilization condition in the mean‐square sense and an infinite horizon optimal controller are presented. Finally, a numerical example is supplied to illustrate the efficiency of the proposed results.","PeriodicalId":105945,"journal":{"name":"Optimal Control Applications and Methods","volume":"216 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124267358","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}